抄録
In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its N-soliton solution in terms of pfaffians is also proved.
本文言語 | English |
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論文番号 | 043502 |
ジャーナル | Journal of Mathematical Physics |
巻 | 56 |
号 | 4 |
DOI | |
出版ステータス | Published - 2015 4月 16 |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学